Area Bounded by!!!!!!!!!!!!!!!!!!!!!!

Question

Find a formula for the area bounded by x^2=4py and y=h where h>0 and p>0

Answer 1

Given that x^2 = 4py and y = h

After solving the two equations we get,

             x^2 = 4ph

           => x = √4ph

                   = +/- 2√ph

x^2 = 4py => y = x^2/4p

Area = ʃydx

                                [ Since ʃ x^2 = x^3/3 + c ]

 

                [ We can write p = √p√p ]

 

Therefore the formula obtained is Area =( 4√p(√h)^3)/3 + c